Answer
The statement is false.
To make it true, replace
"multiply A and the inverse of B "
with
"multiply the inverse of A and B ".
Work Step by Step
Linear systems can be represented by matrix equations of the form $AX=B$
in which $A$ is the coefficient matrix
and $B$ is the constant matrix.
If $AX=B$ has a unique solution, then $X=A^{-1}B$.
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The statement is false.
To make it true, replace
"multiply A and the inverse of B "
with
"multiply the inverse of A and B "